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Finding the Third Proportional to 85,887 and 184,472

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Solution

The third proportional to 85,887 and 184,472 is: 396,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,887 : 184,472 = 184,472 : x
  2. Step 2: Convert to fraction form
    85,887/184,472 = 184,472/x
  3. Step 3: Cross multiply
    85,887x = 184,472 × 184,472
  4. Step 4: Simplify right side
    85,887x = 34,029,918,784
  5. Step 5: Solve for x
    x = 34,029,918,784/85,887
  6. Step 6: Final answer
    x = 396,217.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.